Evan buys some oranges. He gives 1,2 or 3 oranges to April. He has5 oranges left . Draw pictures and write a number sentence to
1 answer:
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Step-by-step explanation:
To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the variable when we add the two equations together.
Right now, there's a term in the first equation, and a
term in the second equation, so if we add those together, we'll be able to eliminate the
variable altogether and solve for
.
However, when we also have a term in the first equation and
term in the second equation, so adding these together will also eliminate the
term, leaving a
on the left-hand side of the equation.
If we add the two numbers on the right side of the equation, we get , which does not equal
, meaning there are no solutions to this system of equations.
<u>ANSWER</u>: The centroid is (1,3)
<u>Explanation:</u>
The centroid is the intersection of the medians of the triangle.
So we need to find the equation of any two of the medians and solve simultaneously.
Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.
We find the midpoint of AC using the formula;
The equation of the median passes through and
.
This line is parallel to the y-axis hence has equation
-------first median.
We also find the midpoint M of BC.
The slope of the median, AM is
The equation of the median AM is given by;
We use the point M and the slope of AM.
-------Second median
We now solve the equation of the two medians simultaneously by putting in to the equation of the second median.
Hence the centroid has coordinates
